27068804676 has 81 divisors (see below), whose sum is σ = 72730710871. Its totient is φ = 8486909184.

The previous prime is 27068804671. The next prime is 27068804677. The reversal of 27068804676 is 67640886072.

The square root of 27068804676 is 164526.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4532790276 + 22536014400 = 67326^2 + 150120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27068804671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16780846 + ... + 16782458.

Almost surely, 2^27068804676 is an apocalyptic number.

27068804676 is the 164526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27068804676

27068804676 is an abundant number, since it is smaller than the sum of its proper divisors (45661906195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27068804676 is a wasteful number, since it uses less digits than its factorization.

27068804676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

It can be divided in two parts, 27068 and 804676, that added together give a square (831744 = 912²).

The spelling of 27068804676 in words is "twenty-seven billion, sixty-eight million, eight hundred four thousand, six hundred seventy-six".